%0 Journal Article %T Proof of the Somos-4 Hankel Determinants Conjecture %A Guoce Xin %J Mathematics %D 2007 %I arXiv %X By considering the fundamental equation $x=y-y^2=z-z^3$, Somos conjectured that the Hankel determinants for the generating series $y(z)$ are the Somos-4 numbers. We prove this conjecture by using the quadratic transformation for Hankel determinants of Sulanke and Xin. %U http://arxiv.org/abs/0712.0933v1